### Physics Problem Set: Mechanics of a Mended Toy#### Problem DescriptionA toy you mended yourself consists of a uniform bar with two small balls glued to its ends. The bar has a length \( L \) and a mass \( M \), while the balls have masses \( m \) and \( 2m \), respectively, and can be treated as point masses.#### Problem Set**4a.** Draw this piece, label its geometrical characteristics in terms of the listed variables; choose and label a coordinate system, and locate/calculate the center of mass of this toy.**4b.** Find the moment of inertia of this toy about an axis perpendicular to the bar through its center.**4c.** Find the moment of inertia of this toy about an axis parallel to the bar that goes through both balls.**4d.** Find the kinetic energy of this toy while rotating about an axis going through its center of mass, perpendicular to the bar.### Analysis and ExplanationThe problem involves calculating physical properties and characteristics of a composite object, consisting of a rod and attached masses. Key concepts include center of mass, moment of inertia, and rotational kinetic energy.

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Answered: 4. A toy that you mended yourself…

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